Accedmychevron_right11thchevron_rightmathchevron_rightFunctions And Graphschevron_rightExercise 2.1

(iii)

f(x2)=(x2)21=x24x+41=x24x+3\begin{aligned} f(x-2)&=(x-2)^2-1\\ &=x^2-4x+4-1\\ &=x^2-4x+3 \end{aligned} f(x2)=x24x+3\boxed{f(x-2)=x^2-4x+3}